ON GENERALIZED ROUGH (m, n)-BI-Gamma-HYPERIDEALS IN Gamma-SEMIHYPERGROUPS
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, vol.77, no.2, pp.93-104, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 77 Issue: 2
- Publication Date: 2015
- Journal Name: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.93-104
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
Recently, in [12], Yaqoob et al. introduced the notion of (m,n)-bi-Gamma-hyperideals and applied the concept of rough set theory to (m,n)-bi-Gamma-hyperideals, which is a generalization of (m,n)-bi-Gamma-hyperideals of Gamma-semihypergroups. In this paper, applying the rough set theory based on an arbitrary binary relation (not an equivalent relation) we extend and generalize these notions, introducing the notion of generalized rough (m,0)-Gamma-hyperideals (generalized rough (0, n)-Gamma-hyperideals), generalized rough (m, n)-quasi and bi-Gamma-hyperideals and generalized rough m-left Gamma-hyperideals) and establish some of their basic properties in Gamma-semihypergroups.